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Finding the Fourth Proportional to 9,615.64, 13,266.54 and 5,637.40

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Solution

The fourth proportional to 9,615.64, 13,266.54 and 5,637.40 is: 7,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.64 : 13,266.54 = 5,637.40 : x
  2. Step 2: Convert to fraction form
    9,615.64/13,266.54 = 5,637.40/x
  3. Step 3: Cross multiply
    9,615.64x = 13,266.54 × 5,637.40
  4. Step 4: Simplify right side
    9,615.64x = 74,788,792.60
  5. Step 5: Solve for x
    x = 74,788,792.60/9,615.64
  6. Step 6: Final answer
    x = 7,777.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.